Angles - Exercise 11.1 Class 6 Notes | EduRev

Mathematics (Maths) Class 6

Class 6 : Angles - Exercise 11.1 Class 6 Notes | EduRev

 Page 1


 
 
 
 
 
 
Exercise 11.1                                                                             page: 11.5 
1. Give three examples of angles from your environment. 
Solution: 
 
The three examples of angles are 
The angle formed by the two adjacent fingers of our hand 
The angle formed by two adjacent walls of a room 
The angle formed by the hour hand and minute hand of a clock. 
 
2. Write the arms and the vertex of ? LMP given in Fig. 11.14. 
 
Solution: 
 
The vertex of ? LMP is M and the arms are ML and MP. 
 
3. How many angles are formed in the figures 11.15 (i), (ii) and (iii)? Name them. 
 
Solution: 
 
(i) Three angles are formed in figure (i) namely ? ABC, ? ACB and ? BAC. 
 
(ii) Four angles are formed in figure (ii) namely ? ABC, ? BCD, ? CDA and ? DAB. 
 
(iii) Eight angles are formed in figure (iii) namely ? ABC, ? BCD, ? CDA, ? DAB, ? CAB, ? CAD, ? BCA and 
? ACD. 
 
4. In Fig. 11.16, list the points which are: (i) in the interior of ? P (ii) in the exterior of ? P and (iii) lie on ? 
P. 
Page 2


 
 
 
 
 
 
Exercise 11.1                                                                             page: 11.5 
1. Give three examples of angles from your environment. 
Solution: 
 
The three examples of angles are 
The angle formed by the two adjacent fingers of our hand 
The angle formed by two adjacent walls of a room 
The angle formed by the hour hand and minute hand of a clock. 
 
2. Write the arms and the vertex of ? LMP given in Fig. 11.14. 
 
Solution: 
 
The vertex of ? LMP is M and the arms are ML and MP. 
 
3. How many angles are formed in the figures 11.15 (i), (ii) and (iii)? Name them. 
 
Solution: 
 
(i) Three angles are formed in figure (i) namely ? ABC, ? ACB and ? BAC. 
 
(ii) Four angles are formed in figure (ii) namely ? ABC, ? BCD, ? CDA and ? DAB. 
 
(iii) Eight angles are formed in figure (iii) namely ? ABC, ? BCD, ? CDA, ? DAB, ? CAB, ? CAD, ? BCA and 
? ACD. 
 
4. In Fig. 11.16, list the points which are: (i) in the interior of ? P (ii) in the exterior of ? P and (iii) lie on ? 
P. 
 
 
 
 
 
 
 
Solution: 
 
(i) The points which are in the interior of ? P are J and C. 
 
(ii) The points which are in the exterior of ? P are B and D. 
 
(iii) The points which lie on ? P are A, P and M. 
 
5. In Fig. 11.17, write another name for: 
 
(i) ? 1 
(ii) ? 2 
(iii) ? 3 
(iv) ? 4 
Solution: 
 
(i) From the figure, another name for ? 1 is ? BOD or ? DOB. 
 
(ii) From the figure, another name for ? 2 is ? BOC or ? COB. 
 
(iii) From the figure, another name for ? 3 is ? COA or ? AOC. 
 
(iv) From the figure, another name for ? 4 is ? AOD or ? DOA. 
 
6. In Fig. 11.18, write another name for: 
Page 3


 
 
 
 
 
 
Exercise 11.1                                                                             page: 11.5 
1. Give three examples of angles from your environment. 
Solution: 
 
The three examples of angles are 
The angle formed by the two adjacent fingers of our hand 
The angle formed by two adjacent walls of a room 
The angle formed by the hour hand and minute hand of a clock. 
 
2. Write the arms and the vertex of ? LMP given in Fig. 11.14. 
 
Solution: 
 
The vertex of ? LMP is M and the arms are ML and MP. 
 
3. How many angles are formed in the figures 11.15 (i), (ii) and (iii)? Name them. 
 
Solution: 
 
(i) Three angles are formed in figure (i) namely ? ABC, ? ACB and ? BAC. 
 
(ii) Four angles are formed in figure (ii) namely ? ABC, ? BCD, ? CDA and ? DAB. 
 
(iii) Eight angles are formed in figure (iii) namely ? ABC, ? BCD, ? CDA, ? DAB, ? CAB, ? CAD, ? BCA and 
? ACD. 
 
4. In Fig. 11.16, list the points which are: (i) in the interior of ? P (ii) in the exterior of ? P and (iii) lie on ? 
P. 
 
 
 
 
 
 
 
Solution: 
 
(i) The points which are in the interior of ? P are J and C. 
 
(ii) The points which are in the exterior of ? P are B and D. 
 
(iii) The points which lie on ? P are A, P and M. 
 
5. In Fig. 11.17, write another name for: 
 
(i) ? 1 
(ii) ? 2 
(iii) ? 3 
(iv) ? 4 
Solution: 
 
(i) From the figure, another name for ? 1 is ? BOD or ? DOB. 
 
(ii) From the figure, another name for ? 2 is ? BOC or ? COB. 
 
(iii) From the figure, another name for ? 3 is ? COA or ? AOC. 
 
(iv) From the figure, another name for ? 4 is ? AOD or ? DOA. 
 
6. In Fig. 11.18, write another name for: 
 
 
 
 
 
 
 
(i) ? 1 
(ii) ? 2 
(iii) ? 3 
Solution: 
 
(i) From the figure, another name for ? 1 is ? EPB or ? BPE. 
 
(ii) From the figure, another name for ? 2 is ? CQP or ? PQC. 
 
(iii) From the figure, another name for ? 3 is ? DQF or ? FQD. 
 
7. In Fig. 11.19, which of the following statements are true: 
 
(i) Point B is the interior of ? AOB. 
(ii) Point B is the interior of ? AOC. 
(iii) Point A is the interior of ? AOD. 
(iv) Point C is the exterior of ? AOB. 
(v) Point D is the exterior of ? AOC. 
Solution: 
 
(i) False. B lies on ? AOB. 
 
(ii) True 
 
(iii) False. A lies on ? AOD. 
 
(iv) True 
 
(v) True  
 
8. Which of the following statements are true: 
(i) The vertex of an angle lies in its interior. 
(ii) The vertex of an angle lies in its exterior. 
Page 4


 
 
 
 
 
 
Exercise 11.1                                                                             page: 11.5 
1. Give three examples of angles from your environment. 
Solution: 
 
The three examples of angles are 
The angle formed by the two adjacent fingers of our hand 
The angle formed by two adjacent walls of a room 
The angle formed by the hour hand and minute hand of a clock. 
 
2. Write the arms and the vertex of ? LMP given in Fig. 11.14. 
 
Solution: 
 
The vertex of ? LMP is M and the arms are ML and MP. 
 
3. How many angles are formed in the figures 11.15 (i), (ii) and (iii)? Name them. 
 
Solution: 
 
(i) Three angles are formed in figure (i) namely ? ABC, ? ACB and ? BAC. 
 
(ii) Four angles are formed in figure (ii) namely ? ABC, ? BCD, ? CDA and ? DAB. 
 
(iii) Eight angles are formed in figure (iii) namely ? ABC, ? BCD, ? CDA, ? DAB, ? CAB, ? CAD, ? BCA and 
? ACD. 
 
4. In Fig. 11.16, list the points which are: (i) in the interior of ? P (ii) in the exterior of ? P and (iii) lie on ? 
P. 
 
 
 
 
 
 
 
Solution: 
 
(i) The points which are in the interior of ? P are J and C. 
 
(ii) The points which are in the exterior of ? P are B and D. 
 
(iii) The points which lie on ? P are A, P and M. 
 
5. In Fig. 11.17, write another name for: 
 
(i) ? 1 
(ii) ? 2 
(iii) ? 3 
(iv) ? 4 
Solution: 
 
(i) From the figure, another name for ? 1 is ? BOD or ? DOB. 
 
(ii) From the figure, another name for ? 2 is ? BOC or ? COB. 
 
(iii) From the figure, another name for ? 3 is ? COA or ? AOC. 
 
(iv) From the figure, another name for ? 4 is ? AOD or ? DOA. 
 
6. In Fig. 11.18, write another name for: 
 
 
 
 
 
 
 
(i) ? 1 
(ii) ? 2 
(iii) ? 3 
Solution: 
 
(i) From the figure, another name for ? 1 is ? EPB or ? BPE. 
 
(ii) From the figure, another name for ? 2 is ? CQP or ? PQC. 
 
(iii) From the figure, another name for ? 3 is ? DQF or ? FQD. 
 
7. In Fig. 11.19, which of the following statements are true: 
 
(i) Point B is the interior of ? AOB. 
(ii) Point B is the interior of ? AOC. 
(iii) Point A is the interior of ? AOD. 
(iv) Point C is the exterior of ? AOB. 
(v) Point D is the exterior of ? AOC. 
Solution: 
 
(i) False. B lies on ? AOB. 
 
(ii) True 
 
(iii) False. A lies on ? AOD. 
 
(iv) True 
 
(v) True  
 
8. Which of the following statements are true: 
(i) The vertex of an angle lies in its interior. 
(ii) The vertex of an angle lies in its exterior. 
 
 
 
 
 
 
(iii) The vertex of an angle lies on it. 
Solution: 
 
(i) False. 
 
(ii) False. 
 
(iii) True. 
 
9. By simply looking at the pair of angles given in Fig. 11.20, state which of the angles in each of the pairs is 
greater: 
 
 
Solution: 
 
(i) From the figure we know that ? AOB > ? DEF. 
 
(ii) From the figure we know that ? PQR > ? LMN. 
 
(iii) From the figure we know that ? UVW > ? XYZ. 
 
10. By using tracing paper compare the angles in each of the pairs given in Fig. 11.21. 
Page 5


 
 
 
 
 
 
Exercise 11.1                                                                             page: 11.5 
1. Give three examples of angles from your environment. 
Solution: 
 
The three examples of angles are 
The angle formed by the two adjacent fingers of our hand 
The angle formed by two adjacent walls of a room 
The angle formed by the hour hand and minute hand of a clock. 
 
2. Write the arms and the vertex of ? LMP given in Fig. 11.14. 
 
Solution: 
 
The vertex of ? LMP is M and the arms are ML and MP. 
 
3. How many angles are formed in the figures 11.15 (i), (ii) and (iii)? Name them. 
 
Solution: 
 
(i) Three angles are formed in figure (i) namely ? ABC, ? ACB and ? BAC. 
 
(ii) Four angles are formed in figure (ii) namely ? ABC, ? BCD, ? CDA and ? DAB. 
 
(iii) Eight angles are formed in figure (iii) namely ? ABC, ? BCD, ? CDA, ? DAB, ? CAB, ? CAD, ? BCA and 
? ACD. 
 
4. In Fig. 11.16, list the points which are: (i) in the interior of ? P (ii) in the exterior of ? P and (iii) lie on ? 
P. 
 
 
 
 
 
 
 
Solution: 
 
(i) The points which are in the interior of ? P are J and C. 
 
(ii) The points which are in the exterior of ? P are B and D. 
 
(iii) The points which lie on ? P are A, P and M. 
 
5. In Fig. 11.17, write another name for: 
 
(i) ? 1 
(ii) ? 2 
(iii) ? 3 
(iv) ? 4 
Solution: 
 
(i) From the figure, another name for ? 1 is ? BOD or ? DOB. 
 
(ii) From the figure, another name for ? 2 is ? BOC or ? COB. 
 
(iii) From the figure, another name for ? 3 is ? COA or ? AOC. 
 
(iv) From the figure, another name for ? 4 is ? AOD or ? DOA. 
 
6. In Fig. 11.18, write another name for: 
 
 
 
 
 
 
 
(i) ? 1 
(ii) ? 2 
(iii) ? 3 
Solution: 
 
(i) From the figure, another name for ? 1 is ? EPB or ? BPE. 
 
(ii) From the figure, another name for ? 2 is ? CQP or ? PQC. 
 
(iii) From the figure, another name for ? 3 is ? DQF or ? FQD. 
 
7. In Fig. 11.19, which of the following statements are true: 
 
(i) Point B is the interior of ? AOB. 
(ii) Point B is the interior of ? AOC. 
(iii) Point A is the interior of ? AOD. 
(iv) Point C is the exterior of ? AOB. 
(v) Point D is the exterior of ? AOC. 
Solution: 
 
(i) False. B lies on ? AOB. 
 
(ii) True 
 
(iii) False. A lies on ? AOD. 
 
(iv) True 
 
(v) True  
 
8. Which of the following statements are true: 
(i) The vertex of an angle lies in its interior. 
(ii) The vertex of an angle lies in its exterior. 
 
 
 
 
 
 
(iii) The vertex of an angle lies on it. 
Solution: 
 
(i) False. 
 
(ii) False. 
 
(iii) True. 
 
9. By simply looking at the pair of angles given in Fig. 11.20, state which of the angles in each of the pairs is 
greater: 
 
 
Solution: 
 
(i) From the figure we know that ? AOB > ? DEF. 
 
(ii) From the figure we know that ? PQR > ? LMN. 
 
(iii) From the figure we know that ? UVW > ? XYZ. 
 
10. By using tracing paper compare the angles in each of the pairs given in Fig. 11.21. 
 
 
 
 
 
 
 
Solution: 
 
(i) From the figure we know that ? PQR > ? AOB. 
 
(ii) From the figure we know that ? UVW > ? LMN. 
 
(iii) From the figure we know that ? RST > ? XYZ. 
 
(iv) From the figure we know that ? PQR > ? EFG. 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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